Question
W 3. Place the following numbers in order from least to greatest (top to bottom). II \( \frac{1}{8} \) II \( -\frac{20}{5} \) II \( \sqrt{49} \) II \( \sqrt{5} \) II \( -2 / 3 \)
Ask by Ortiz Romero. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The numbers ordered from least to greatest are:
- \( -\frac{20}{5} \)
- \( -\frac{2}{3} \)
- \( \frac{1}{8} \)
- \( \sqrt{5} \)
- \( \sqrt{49} \)
Solution
To arrange the given numbers from **least to greatest**, let's first evaluate each one:
1. \( \frac{1}{8} = 0.125 \)
2. \( -\frac{20}{5} = -4 \)
3. \( \sqrt{49} = 7 \)
4. \( \sqrt{5} \approx 2.236 \)
5. \( -\frac{2}{3} \approx -0.666 \)
Now, placing them in order from smallest to largest:
1. \( -\frac{20}{5} \) \( (-4) \)
2. \( -\frac{2}{3} \) \( (-0.666) \)
3. \( \frac{1}{8} \) \( (0.125) \)
4. \( \sqrt{5} \) \( (\approx 2.236) \)
5. \( \sqrt{49} \) \( (7) \)
**Final Ordered List (Least to Greatest):**
\[ -\frac{20}{5},\ -\frac{2}{3},\ \frac{1}{8},\ \sqrt{5},\ \sqrt{49} \]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To place these numbers in order from least to greatest, let's first evaluate them: - \( -\frac{20}{5} = -4 \) - \( \sqrt{49} = 7 \) - \( -\frac{2}{3} \approx -0.67 \) - \( \sqrt{5} \approx 2.24 \) - \( \frac{1}{8} = 0.125 \) Now, ordering them from least to greatest gives us: \( -4 < -\frac{2}{3} < \frac{1}{8} < \sqrt{5} < \sqrt{49} \). Rewritten in order: II \( -4 \) II \( -\frac{2}{3} \) II \( \frac{1}{8} \) II \( \sqrt{5} \) II \( 7 \)
